4.3 The velocity “ﬁeld of a ﬂow is given by What is the angle between the velocity vector and
V = 20y/(x3 + y3)"3i — 2,0x/(x2 + yz)"'3j ft/s, the x axis at points (x, y) = (5, 0). (5, 5), and
where x and y are in feet. Determine the ﬂuid (0, 5)?
speed at

Problem set #6
1) Water flows by gravity from one lake to another as sketched in Figure 1 at the steady
rate of 82 gpm.
(a) What is the loss in available energy associated with this flow?
(b) If this same amount of loss is associated with pumping the flui